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The asymptotic convexity of the negative likelihood function of GARCH models

Ip, W. and Wong, H. and Pan, J. and Li, D.F. (2006) The asymptotic convexity of the negative likelihood function of GARCH models. Computational Statistics and Data Analysis, 50 (2). pp. 311-331. ISSN 0167-9473

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Abstract

We prove the convexity of the negative likelihood function in the asymptotic sense for GARCH models. This property provides assurance for the convergence of numerical optimization algorithms for maximum likelihood estimation of GARCH. A simulation study is conducted in order to compare the performance of several different iteration algorithms. An example based on the log-returns of foreign exchange rates is also given.

Item type: Article
ID code: 4931
Keywords: GARCH, convexity, maximum likelihood estimation, iterative algorithm, convergence, foreign exchange rates, statistics, data analysis, Probabilities. Mathematical statistics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 30 Nov 2007
    Last modified: 12 Mar 2012 10:41
    URI: http://strathprints.strath.ac.uk/id/eprint/4931

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